Variational Quantum Linear Solver for Finite Element Problems: a Poisson equation test case

This research investigates the possibility of solving one dimensional Poisson's equation on quantum computers using the Variational Quantum Linear Solver (VQLS) as a simplified test case for fluid dynamics applications. In this work, Poisson's equation is discretized with the finite element method and the resulting matrix is decomposed as a...

Numerical Modelling for Fluid- Structure Interaction of Aquaculture Collar Structures using a Beam Model

More and more aquaculture structures are installed in open water and further offshore due to the fact that a variety of conflicts have arisen with coastal water, eco-system, and inhabitants who live nearby. They can additionally benefit from a high energy environment, for example, strong currents and waves could disperse fish farm waste. However...

Residual-based variational multiscale modeling in a discontinuous Galerkin framework

In this work the residual-based variational multiscale method is presented in a discontinuous Galerkin framework. This so-called ‘DG-RVMS’ strategy is developed, extensively verified, and tested on a more complex case.<br/><br/>The proposed DG-RVMS paradigm consists of three principle components. First, the perelement weak form is coupled by...